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Finding the Fourth Proportional to 13,969.97, 19,275.78 and 7,837.88

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Solution

The fourth proportional to 13,969.97, 19,275.78 and 7,837.88 is: 10,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.97 : 19,275.78 = 7,837.88 : x
  2. Step 2: Convert to fraction form
    13,969.97/19,275.78 = 7,837.88/x
  3. Step 3: Cross multiply
    13,969.97x = 19,275.78 × 7,837.88
  4. Step 4: Simplify right side
    13,969.97x = 151,081,154.17
  5. Step 5: Solve for x
    x = 151,081,154.17/13,969.97
  6. Step 6: Final answer
    x = 10,814.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.